943614c522
ADR-0252 §5 geometric SME is NO-GO; this is Track B Increment 1. Adds role-predicate conversion from MathProblemGraph, S1 canonical skeleton, blind symbolic mapper (match/refuse + binding), and solve via classical verify plus multi-register certificate. Research report and holdout measures included. Serving reader unchanged; no S2–S4 generalization.
54 lines
1.6 KiB
Python
54 lines
1.6 KiB
Python
"""Canonical role-predicate skeletons (expert schema library).
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Increment 1 ships **S1 only**: compare-multiplicative-then-total
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(``compare(b, a, k) ∧ total(a, b, sum)``). Typed roles; no surface literals
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as schema identity. S2–S4 deliberately absent until the S1 slice is reviewed.
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"""
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from __future__ import annotations
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from dataclasses import dataclass
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from generate.structure_mapping.role_predicate import RolePredicate, RoleTerm
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@dataclass(frozen=True, slots=True)
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class CanonicalStructure:
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"""A named schema with abstract role variables (not surface attributes)."""
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structure_id: str
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"""Stable id for the schema (e.g. ``S1``). Used only as prior-knowledge
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library key — never read from gold labels at match time."""
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description: str
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predicates: tuple[RolePredicate, ...]
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"""Abstract skeleton; terms are ``var`` roles only."""
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def _var(name: str) -> RoleTerm:
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return RoleTerm(kind="var", name=name)
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# S1: "b is k× a; find a+b"
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# compare(b, a, k) ∧ contain(a, a_qty) ∧ total(a, b, sum)
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S1_CANONICAL: CanonicalStructure = CanonicalStructure(
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structure_id="S1",
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description=(
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"compare-multiplicative-then-total: b = k×a; query a+b. "
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"Roles: a=reference quantity entity, b=scaled entity, k=factor."
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),
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predicates=(
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RolePredicate(
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kind="contain",
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args=(_var("a"), _var("a_qty")),
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),
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RolePredicate(
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kind="compare",
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args=(_var("b"), _var("a"), _var("k")),
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),
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RolePredicate(
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kind="total",
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args=(_var("a"), _var("b"), _var("sum")),
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),
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),
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)
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